海浪外观谱及其平衡域

Outer frequency spectrum of sea wavesand its equilibrium range

定义了海浪能量的广义或ｎ阶外观分布，导出了ｎ阶海浪外观谱的解析形式，讨论了ｎ阶外观谱的平衡域。结果表明，ｎ阶外观谱的平衡域指数为－（３＋ｎ）；平衡域指数上界为－３．任何波动现象，只要Ｆｏｕｒｉｅｒ迭加原理和射线理论对它们的描述足够准确，则本文的结论皆成立。

The present paper defines the generalized apparent energy distribution and derives the analytical form of the so-called generalized outer frequency spectrum of nth order apparent frequency spectrum. It is shown the generalized outer frequency spectrum has an equilibrium range with an exponent - (n+ 3 ) and the upper limit of the exponent is - 3 . The results of this paper are universal and are applicable for any other wave phenomena if the ray theory of waves and the Longuet-Higgins' linear random wave model areexact enough for their description.